SOLUTION: Can someone please help me understand this problem? Given the constraints x + y(<=)90, 3x - y(>=)0, x(>=)0, y(>=)0, the minimum value for the function f(x) = 10x + 11y is a. -9

Algebra ->  Functions -> SOLUTION: Can someone please help me understand this problem? Given the constraints x + y(<=)90, 3x - y(>=)0, x(>=)0, y(>=)0, the minimum value for the function f(x) = 10x + 11y is a. -9      Log On


   

Question 143347: Can someone please help me understand this problem?
Given the constraints x + y(<=)90, 3x - y(>=)0, x(>=)0, y(>=)0, the minimum value for the function f(x) = 10x + 11y is
a. -90
b. 0
c. -3
d. 990
Thank you
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
From the last 2 constraints we know that neither x nor y is negative.
So a and c are not possible answers answers.
If we make both x and y be 0 then 10x + 11y=0
0+0<=90 and 0-0>=0
So 0 is a possible minimum.
Since 0<990 then 0 is the minimum.
.
Ed